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Finding the Fourth Proportional to 2,855.22, 3,940.04 and 1,676.28

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Solution

The fourth proportional to 2,855.22, 3,940.04 and 1,676.28 is: 2,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.22 : 3,940.04 = 1,676.28 : x
  2. Step 2: Convert to fraction form
    2,855.22/3,940.04 = 1,676.28/x
  3. Step 3: Cross multiply
    2,855.22x = 3,940.04 × 1,676.28
  4. Step 4: Simplify right side
    2,855.22x = 6,604,610.25
  5. Step 5: Solve for x
    x = 6,604,610.25/2,855.22
  6. Step 6: Final answer
    x = 2,313.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.